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- W1980804981 abstract "Suppose that A ∈ C n , n is a block p -cyclic consistently ordered matrix, and let B and S ω denote, respectively, the block Jacobi and the block symmetric successive overrelaxation (SSOR) iteration matrices associated with A. Neumaier and Varga found [in the ( ϱ (| B |), ω) plane] the exact convergence and divergence domains of the SSOR method for the class of H -matrices. Hadjidimos and Neumann applied Rouché's theorem to the functional equation connecting the eigenvalue spectra σ ( B ) and σ ( S ω ) obtained by Varga, Niethammer, and Cai, and derived in the ( ϱ ( B ), ω) plane the convergence domains for the SSOR method associated with p -cyclic consistently ordered matrices, for any p ⩾ 3. In the present work it is further assumed that the eigenvalues of B p are real of the same sign. Under this assumption the exact convergence domains in the ( ϱ ( B ), ω) plane are derived in both the nonnegative and the nonpositive cases for any p ⩾ 3." @default.
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- W1980804981 date "1996-01-01" @default.
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- W1980804981 title "On the exact p-cyclic SSOR convergence domains" @default.
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- W1980804981 doi "https://doi.org/10.1016/0024-3795(94)00048-4" @default.
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